document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012855>Question 1012855</A>: <I><SPAN STYLE=\"word-break: break-all;\"> =======================================================================================================<BR>\n" );
document.write( "3.21\r<BR>\n" );
document.write( "\n" );
document.write( "Find f+g, f-g and f/g. Determine the domain for each function.\r<BR>\n" );
document.write( "\n" );
document.write( "f(x)=4x+8, g(x)=x-5\r<BR>\n" );
document.write( "\n" );
document.write( "a. (f+g)(x)=\r<BR>\n" );
document.write( "\n" );
document.write( "b.What is the domain of f+g:\r<BR>\n" );
document.write( "\n" );
document.write( "c.(f-g)(x)=\r<BR>\n" );
document.write( "\n" );
document.write( "d. What is the domain of f-g\r<BR>\n" );
document.write( "\n" );
document.write( "e. (fg)(x)=\r<BR>\n" );
document.write( "\n" );
document.write( "f. What is the domain of fg:\r<BR>\n" );
document.write( "\n" );
document.write( "g. (f/g)(x)=\r<BR>\n" );
document.write( "\n" );
document.write( "h. What is the domain of f/g: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #628950 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=628950\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Find f+g, f-g and f/g. Determine the domain for each function.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=4x%2B8 ALIGN=MIDDLE  ALT=\"f%28x%29=4x%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=x-5 ALIGN=MIDDLE  ALT=\"g%28x%29=x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "a. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%2Bg%29%28x%29=4x%2B8%2Bx-5 ALIGN=MIDDLE  ALT=\"%28f%2Bg%29%28x%29=4x%2B8%2Bx-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%2Bg%29%28x%29=5x%2B3 ALIGN=MIDDLE  ALT=\"%28f%2Bg%29%28x%29=5x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "b.What is the domain of f+g:\r<BR>\n" );
document.write( "\n" );
document.write( "all real numbers: { <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > element <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" > }\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "c.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f-g%29%28x%29=4x%2B8-%28x-5%29 ALIGN=MIDDLE  ALT=\"%28f-g%29%28x%29=4x%2B8-%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f-g%29%28x%29=4x%2B8-x%2B5 ALIGN=MIDDLE  ALT=\"%28f-g%29%28x%29=4x%2B8-x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f-g%29%28x%29=3x%2B13 ALIGN=MIDDLE  ALT=\"%28f-g%29%28x%29=3x%2B13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "d. What is the domain of f-g\r<BR>\n" );
document.write( "\n" );
document.write( "all real numbers: { <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > element <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" > }\r<BR>\n" );
document.write( "\n" );
document.write( "e. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28fg%29%28x%29=%284x%2B8%29%28x-5%29 ALIGN=MIDDLE  ALT=\"%28fg%29%28x%29=%284x%2B8%29%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28fg%29%28x%29=4x%5E2-20%2B8x-40 ALIGN=MIDDLE  ALT=\"%28fg%29%28x%29=4x%5E2-20%2B8x-40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28fg%29%28x%29=4x%5E2%2B8x-60 ALIGN=MIDDLE  ALT=\"%28fg%29%28x%29=4x%5E2%2B8x-60\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "f. What is the domain of fg:\r<BR>\n" );
document.write( "\n" );
document.write( "all real numbers: { <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > element <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" > }\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "g. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%2Fg%29%28x%29=%284x%2B8%29%2F%28x-5%29 ALIGN=MIDDLE  ALT=\"%28f%2Fg%29%28x%29=%284x%2B8%29%2F%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%2Fg%29%28x%29=4%28x%2B2%29%2F%28x-5%29 ALIGN=MIDDLE  ALT=\"%28f%2Fg%29%28x%29=4%28x%2B2%29%2F%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "h. What is the domain of f/g:\r<BR>\n" );
document.write( "\n" );
document.write( "{ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > element <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" > : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E5 ALIGN=MIDDLE  ALT=\"x%3C%3E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > }\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );